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Finding the Fourth Proportional to 105,428.80, 145,492.10 and 57,682

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Solution

The fourth proportional to 105,428.80, 145,492.10 and 57,682 is: 79,601.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,428.80 : 145,492.10 = 57,682 : x
  2. Step 2: Convert to fraction form
    105,428.80/145,492.10 = 57,682/x
  3. Step 3: Cross multiply
    105,428.80x = 145,492.10 × 57,682
  4. Step 4: Simplify right side
    105,428.80x = 8,392,275,312.20
  5. Step 5: Solve for x
    x = 8,392,275,312.20/105,428.80
  6. Step 6: Final answer
    x = 79,601.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.